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COMBINATORIAL DEPLETION · 1D · RANK-2 · 50% DEPTH

1-Deck Two-Pip (Deuce) Depletion at 50% Penetration (Super 6 Audit DEP022)

Removing 2 of 4 Two-Pip (Deuce) (Rank-2) cards at 50% penetration of a 1-deck (52-card) shoe leaves 2 Rank-2 cards inside a 26-card stub (DEP022), producing 45.9607% Banker wins, 44.5237% Player wins, 9.5156% Ties, and a 1.2560% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2560%
Player EV (1:1)
-1.4370%
Rank-2 in 26-Card Stub
2/4
Single-Hand Std Dev
0.9351
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P P B B P B P B P P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = ≠
Small Road = ≠ ≠ = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = ≠ = ≠ ≠ = =

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP022 (1D Rank-2 at 50% depth).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP022)
26 / 52 Cards

50% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-2 Remaining
2 of 4 Cards

2 2-pip cards across all four suits removed from the 1D pack.

Banker EV (Super 6)
-1.2560%

Resolved at 45.9607% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4370%

Resolved at 44.5237% Player win rate with 0.9351 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP022.

FINITE-SHOE ENUMERATION · DEP022

How Two-Pip (Deuce) Depletion at 50% Depth Impacts 1D (Super 6)

Within single-deck laboratory benchmarks and historical pitch audits, profile DEP022 examines 50% shoe depletion (26 of 52 cards remaining) after 2 Rank-2 cards exit, leaving 2 Two-Pip (Deuce) cards and a 1.2560% Banker house hold under Super 6.

Tableau audit DEP022 confirms that on banker total 4, (dep022) banker draws against player third-card (1d-50%) 2 through 7; removing 2s (dep022·1d-50%) trims low-pip player third-card triggers. Inside the 26-card 1D stub (50% depth, 2/4 Rank-2 remaining, +0.52 bps slope), standard deviation is 0.9351 under Super 6.

State DEP022 (1D, 50% depth, 2/4 Rank-2 left, Super 6)
Wager / MetricState DEP022 Value1D BaselineSettlement Note
DEP022 Banker (Super 6)45.9607% (-1.2560% EV)45.9595%DEP022 1D 50% (2 Rank-2)
DEP022 Player (1:1)44.5237% (-1.4370% EV)44.5249%DEP022 26-card 1D stub (0.9351 SD)
DEP022 Tie (8:1)9.5156% (-14.3592% EV)9.5156%DEP022 Rank-2 (2 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP022

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP022 · 1D)

Scoreboard literacy in DEP022 separates two independent concepts: 1D card-removal math (2 Rank-2 left in 26 cards at 50% depth, 0.9351 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP022 (1D 50%): 26/52 cards with 2/4 Rank-2 (3A).
  • DEP022 (Rank-2 split): 45.9607% Banker, 44.5237% Player, 9.5156% Tie in 26 1D cards (3B).
  • DEP022 (Super 6 EV): -1.2560% Banker, -1.4370% Player, -14.3592% Tie, 0.9351 SD at 50% (3C).
  • DEP022 (1D roads): red/blue marks log Big Road columns, never 2 Rank-2 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 2 Two-Pip (Deuce) cards leave a 1D shoe by 50% depth (DEP022), Big Eye Boy red or blue marks show whether Banker or Player will win next.
TruthDerived-road red and blue marks only compare Big Road column lengths and never track Rank-2 stub counts (2/4 in 26 cards); Banker carries a -1.2560% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android